On the glassy nature of random directed polymers in two dimensions

  title={On the glassy nature of random directed polymers in two dimensions},
  author={Marc M{\'e}zard},
  journal={Journal De Physique},
  • M. Mézard
  • Published 1 September 1990
  • Physics
  • Journal De Physique
We study numerically directed polymers in a random potential in 1 + 1 dimensions. We introduce two copies of the polymer, coupled through a thermodynamic local interaction. We show that the system is unstable versus an arbitrary weak repulsion of the two copies. This suggests a similarity with a spin glass phase, with several « valleys », where the typical differences of the free energies of the valleys grow like t03C9, where t is the length of the polymer and 03C9 is probably equal to 1/3. The… 

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